On Generalized Stieltjes Functions
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- OAvers-On generalized Stieltjes functions
Accepted author manuscript, 286 KB, PDF document
It is shown that a function f is a generalized Stieltjes function of order (Formula presented.) if and only if (Formula presented.) is completely monotonic for all (Formula presented.), thereby complementing a result due to Sokal. Furthermore, a characterization of those completely monotonic functions f for which (Formula presented.) is completely monotonic for all (Formula presented.) is obtained in terms of properties of the representing measure of f.
|Publication status||Published - 2019|
- Completely monotonic function, Generalized Stieltjes function, Laplace transform
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